Generalized three-family supersymmetric Pati-Salam models from Type IIA intersecting D6-branes

A bstract Generalizing three-family chiral fermion conditions to I ac = −(3 + h ) and I_ac=h I a c ′ = h , with positive integer h , we extend the landscape of three-family N=1 N = 1 supersymmetric Pati-Salam models in a broader region. Differing from the former investigation with I ac = − 3 and I_ac=0 I a c ′ = 0 , we do not restrict that the a stack of D6-branes must be parallel to the orientifold image of the c -stack along one of the three two-tori. In this investigation, without the simple parallel construction, we find four new classes of supersymmetric Pati-Salam models that are allowed by the extended three generation condition with I ac = 3 , I_ac=-6 I a c ′ = − 6 and I ac = − 1 , I_ac=-2 I a c ′ = − 2 through the intersections of a - and c/c′ -branes. Moreover, with the SU(2)_L SU 2 L ′ gauge coupling realized from SU(2)L₁× SU(2)L₂ SU 2 L 1 × SU 2 L 2 symmetry breaking, the canonical normalization requirement of the gauge kinetic term provides an alternative approach that can be imposed before the renormalization group equation evolution for SU(2)_L SU 2 L ′ gauge coupling. This turns out to be an effective mechanism to realize the string-scale gauge coupling relation, especially for the new supersymmetric Pati-Salam models with large g b</jats:italic